Name
Abstract | ||
|---|---|---|
Parametrized surfaces of low degrees are very useful in applications, specially in Computer Aided Geometric Design and Geometric Modeling. The precise description of their geometry is not easy in general. Here we study surfaces of bidegree (1,2). We show that, generically up to linear changes of coordinates, they are classified by two continuous parameters (modulus). We present an elegant combinatorial description where these modulus appear as cross ratios. We provide compact implicit equations for these surfaces and for their singular locus together with a geometric interpretation. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1145/1005285.1005307 | ISSAC |
Keywords | DocType | ISBN |
elegant combinatorial description,Geometric Design,Parametrized surface,linear change,continuous parameter,Geometric Modeling,compact implicit equation,geometric interpretation,precise description,low degree | Conference | 1-58113-827-X |
Citations | PageRank | References |
3 | 0.46 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohamed Elkadi | 1 | 51 | 5.76 |
| A. Galligo | 2 | 76 | 11.72 |
| Thi Ha Lê | 3 | 3 | 0.46 |